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What is the Least Common Multiple of 95433 and 95451?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 95433 and 95451 is 3036391761.

LCM(95433,95451) = 3036391761

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Least Common Multiple of 95433 and 95451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95433 and 95451, than apply into the LCM equation.

GCF(95433,95451) = 3
LCM(95433,95451) = ( 95433 × 95451) / 3
LCM(95433,95451) = 9109175283 / 3
LCM(95433,95451) = 3036391761

Least Common Multiple (LCM) of 95433 and 95451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95433 and 95451. First we will calculate the prime factors of 95433 and 95451.

Prime Factorization of 95433

Prime factors of 95433 are 3, 13, 2447. Prime factorization of 95433 in exponential form is:

95433 = 31 × 131 × 24471

Prime Factorization of 95451

Prime factors of 95451 are 3, 31817. Prime factorization of 95451 in exponential form is:

95451 = 31 × 318171

Now multiplying the highest exponent prime factors to calculate the LCM of 95433 and 95451.

LCM(95433,95451) = 31 × 131 × 24471 × 318171
LCM(95433,95451) = 3036391761